Texas officials is concerned that the funds allotted to aid drug prevention programs are not being well spent. To investigate this issue, Texas government officials recruits a sample of high school students from several counties. The students are asked to report how many drugs they have used in the past six months. The participants then join a 12-week drug awareness program. Six months later, the sample is again asked to report their drug usage. Did students significantly change their illegal drug use (is it different)? a. Identify each of the following, using the given information. Difference Mean = -4.6 St. Deviation = 6.7 N = 89 b. Write the null hypothesis and alternate hypothesis using statistical language. As you cannot use greek letters, in your response use "Difference Mean" for X-Bar D and "0" for Population of Zero. For your operations, use =, <, >, and =/= (does not equal). Null: Blank 1 Alternate: Blank 2 c. Given this is a two-sample test, you must use the t-distribution for this problem. What would be the degrees of freedom (df) for this scenario? Blank 3 d. Assume that the alpha level is 0.01. What would be the critical t-score? In other words, what t-score is our cut-off for the rejection region? Blank 4 e. Calculate the obtained t-score for this problem. Blank 5 f. Make a decision. Based on your calculations, which hypotheses would we reject? Which would we accept? (Reject Null or Accept Null? Reject Alternate or Accept Alternate?) Blank 6 Blank 1 Blank 2 Blank 3 Blank 4 Blank 5 Blank 6